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Finding the Third Proportional to 10,946.81 and 22,663.13

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Solution

The third proportional to 10,946.81 and 22,663.13 is: 46,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.81 : 22,663.13 = 22,663.13 : x
  2. Step 2: Convert to fraction form
    10,946.81/22,663.13 = 22,663.13/x
  3. Step 3: Cross multiply
    10,946.81x = 22,663.13 × 22,663.13
  4. Step 4: Simplify right side
    10,946.81x = 513,617,234.77
  5. Step 5: Solve for x
    x = 513,617,234.77/10,946.81
  6. Step 6: Final answer
    x = 46,919.34

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.